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Finding the Fourth Proportional to 847.13, 1,169.06 and 497.84

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Solution

The fourth proportional to 847.13, 1,169.06 and 497.84 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.13 : 1,169.06 = 497.84 : x
  2. Step 2: Convert to fraction form
    847.13/1,169.06 = 497.84/x
  3. Step 3: Cross multiply
    847.13x = 1,169.06 × 497.84
  4. Step 4: Simplify right side
    847.13x = 581,996.50
  5. Step 5: Solve for x
    x = 581,996.50/847.13
  6. Step 6: Final answer
    x = 687.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.